document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976152>Question 976152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> JKLMN is a regular pentagon and the diagonals JL and JM are joined. Because of the symmetry of the pentagon, all three triangles are isosceles, and the left and right triangles are congruent.<BR>\n" );
document.write( "a) Calculate angle JNM.<BR>\n" );
document.write( "b) Calculate angles NMJ and NJM.<BR>\n" );
document.write( "c) What is the size of angle NML?<BR>\n" );
document.write( "d) Calculate angles JML and JLM.<BR>\n" );
document.write( "e) Calculate angle MJL.<BR>\n" );
document.write( "   Give a reason at each step. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597867 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=FrankM&illustration_name=Pent.jpg\">.\r<BR>\n" );
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document.write( "The single angles, N, K are each 108. 3 triangles must add to 180*3=540, then divide by 5. \r<BR>\n" );
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document.write( "a) 108<BR>\n" );
document.write( "b) Since JKL is isosceles, we take 180-108=72 and divide  72/2 = 36 each<BR>\n" );
document.write( "c) also 108<BR>\n" );
document.write( "d) NML is 108 and NMJ is 36 so 108-36=72 each<BR>\n" );
document.write( "e) 180-144=36 </SPAN>\n" );
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